Corpus ID: 219124267

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation.

@article{Zheng2020SystemlevelIA,
  title={System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation.},
  author={Y. Zheng and Luca Furieri and M. Kamgarpour and N. Li},
  journal={arXiv: Optimization and Control},
  year={2020}
}
  • Y. Zheng, Luca Furieri, +1 author N. Li
  • Published 2020
  • Mathematics, Computer Science, Engineering
  • arXiv: Optimization and Control
It is known that the set of internally stabilizing controller $\mathcal{C}_{\text{stab}}$ is non-convex, but it admits convex characterizations using certain closed-loop maps: a classical result is the {Youla parameterization}, and two recent notions are the {system-level parameterization} (SLP) and the {input-output parameterization} (IOP). In this paper, we address the existence of new convex parameterizations and discuss potential tradeoffs of each parametrization in different scenarios. Our… Expand
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